关键词: 不动点定理, 解的存在性, 有序分数阶q差分系统

Abstract: By using the Perov’s fixed point theorem and Schauder fixed point theorem, we considered the existence of solutions for a new class of the sequential fractional qdifferences system. We gave a representation for the solution to this equation by using qexponential, and obtained the existence and uniqueness of solutions for the sequential fractional qdifferences system.

Key words: existence of solution, sequential fractional qdifference system, fixed point theorem